Composite nonsmooth multiobjective programs with \(V\)-\(\rho\)-invexity
type: Item
instance of: scholarly article
title: Composite nonsmooth multiobjective programs with \(V\)-\(\rho\)-invexity
zbMATH Open document ID: 0948.90129
author: L. Venkateswara Reddy
author: R. N. Mukherjee
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-05-10T00:00:00Z
review text: In this paper the authors examine nonsmooth multiobjective problems where the objective function and the constraints are composition of \(V-\rho\)-invex functions. For the composite nonsmooth multjobjective programs involving locally Lipschitz functions they prove generalized Karush-Kuhn-Tucker sufficient optimality theorems and two duality theorems: weak duality and strong duality. In the last part they prove weak saddle point theorems for nonsmooth composite multiobjective programs whose functions are locally Lipschitz and Gateaux differentiable.
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 1340140
zbMATH Keywords: multiobjective programming
zbMATH Keywords: optimality conditions
zbMATH Keywords: duality
zbMATH Keywords: weak vector saddle point
reviewed by: Daniela Marinescu
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6409
OpenAlex ID: W2080287145
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DOI: 10.1006/JMAA.1999.6409
description: scientific article; zbMATH DE number 1340140